Compositionality, stochasticity and cooperativity in dynamic models of gene regulation

Details Compositionality, stochasticity and cooperativity in dynamic models of gene regulation Compositionality, stochasticity and cooperativity in dynamic models of gene regulation

2007-02-08

arxiv.org/abs/q-bio/0702016v2

Biology

Quantitative Biology

Molecular Networks

15 pages, 8 figures. Accepted by the HFSP journal (13/09/07)

Scientific paper

We present an approach for constructing dynamic models for the simulation of gene regulatory networks from simple computational elements. Each element is called a ``gene gate'' and defines an input/output-relationship corresponding to the binding and production of transcription factors. The proposed reaction kinetics of the gene gates can be mapped onto stochastic processes and the standard ode-description. While the ode-approach requires fixing the system's topology before its correct implementation, expressing them in stochastic pi-calculus leads to a fully compositional scheme: network elements become autonomous and only the input/output relationships fix their wiring. The modularity of our approach allows to pass easily from a basic first-level description to refined models which capture more details of the biological system. As an illustrative application we present the stochastic repressilator, an artificial cellular clock, which oscillates readily without any cooperative effects.

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